261970632 has 256 divisors, whose sum is σ = 956160000. Its totient is φ = 64385280.

The previous prime is 261970627. The next prime is 261970633. The reversal of 261970632 is 236079162.

261970632 is a `hidden beast` number, since 2 + 6 + 19 + 7 + 0 + 632 = 666.

It is a super-2 number, since 2×261970632² = 137257224060958848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (261970633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315594 + ... + 316422.

It is an arithmetic number, because the mean of its divisors is an integer number (3735000).

Almost surely, 2^261970632 is an apocalyptic number.

261970632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261970632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478080000).

261970632 is an abundant number, since it is smaller than the sum of its proper divisors (694189368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261970632 is a wasteful number, since it uses less digits than its factorization.

261970632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 261970632 is about 16185.5068502658. The cubic root of 261970632 is about 639.8588816465.

The spelling of 261970632 in words is "two hundred sixty-one million, nine hundred seventy thousand, six hundred thirty-two".